The mathematics named option programs allow students to develop a deep understanding of how the subject relates to other areas of human inquiry. The requirements for these programs feature mathematics courses with topics inspired by and commonly applied to problems in these associated fields. Though often paired with a second major in a related area, these programs function well alone and are suited to any mathematics student with a variety of interests. Students interested in a named option program are recommended to meet with an advisor to navigate the various plans and courses available to them. Advising information can be found on the BA or BS pages.
The named options do not support honors in the major.
The Mathematics Major with Economics and Finance focus requires 10 distinct courses for at least 30 credits as described below. Note that while some courses may be used to fulfill more than one requirement it is still considered only a single course and may only contribute once to the total course count. Finally, at most one course from each of the following groupings may be used to fulfill the minimum course and credit requirement (i.e.: minimum of ten courses and at least 30 credits): Intro Linear Algebra (MATH 320, MATH 340, MATH 341, MATH 375), Intro Differential Equations (MATH 319, MATH 320 or MATH 376), and Intro Probability (MATH/STAT 309 or MATH/STAT 431).
Code | Title | Credits |
---|---|---|
Core Math Requirement (minimum of six distinct MATH courses for at least 18 credits) ^{1} | ||
Linear Algebra | 3-5 | |
Linear Algebra and Differential Equations | ||
or MATH 340 | Elementary Matrix and Linear Algebra | |
or MATH 341 | Linear Algebra | |
or MATH 375 | Topics in Multi-Variable Calculus and Linear Algebra | |
Differential equations | 0-5 | |
Techniques in Ordinary Differential Equations | ||
or MATH 320 | Linear Algebra and Differential Equations | |
or MATH 322 | Applied Mathematical Analysis | |
or MATH 376 | Topics in Multi-Variable Calculus and Differential Equations | |
or MATH 415 | Applied Dynamical Systems, Chaos and Modeling | |
or MATH 519 | Ordinary Differential Equations | |
Intermediate Mathematics Requirement (complete at least one) | 0-6 | |
Applied Mathematical Analysis and Applied Mathematical Analysis | ||
Linear Algebra | ||
Topics in Multi-Variable Calculus and Linear Algebra | ||
The Theory of Single Variable Calculus | ||
Analysis Requirement | 3 | |
Analysis I | ||
Electives to reach required six courses for at least 18 credits of MATH | 6-9 | |
At least one course must be selected from: | ||
Numerical Linear Algebra | ||
Numerical Analysis | ||
Ordinary Differential Equations | ||
Analysis II | ||
Linear Optimization | ||
Probability Theory | ||
Mathematical Methods in Data Science | ||
Linear Algebra II | ||
Stochastic Methods for Biology | ||
Analysis of Partial Differential Equations | ||
Introduction to Fourier Analysis | ||
Introduction to Measure and Integration | ||
Introduction to Stochastic Processes | ||
An Introduction to Brownian Motion and Stochastic Calculus | ||
Remaining courses/credits may be from: | ||
Introduction to Probability and Mathematical Statistics II | ||
Applied Mathematical Analysis | ||
Applied Mathematical Analysis | ||
Applied Dynamical Systems, Chaos and Modeling | ||
The Theory of Single Variable Calculus | ||
Introduction to Combinatorial Optimization | ||
Introduction to the Theory of Probability | ||
Introduction to Probability and Mathematical Statistics I | ||
Applied Linear Algebra | ||
Introduction to Combinatorics | ||
Economics/Finance Requirement (Four Courses distinct from the above for at least 12 credits) ^{1} | ||
Select one of the following introductory sequences: | 6-8 | |
Intermediate Microeconomic Theory - Advanced Treatment and Intermediate Macroeconomic Theory - Advanced Treatment | ||
Intermediate Microeconomic Theory and Intermediate Macroeconomic Theory | ||
Introduction to Finance and Investment Theory | ||
Economics/Finance Elective (choose at least two) ^{2} | 6-8 | |
Introduction to Applied Econometrics | ||
Introductory Econometrics | ||
Economic Decision Analysis | ||
The Financial System | ||
Analytical Public Finance | ||
Macroeconomic Policy | ||
Human Resources and Economic Growth | ||
Wages and the Labor Market | ||
The Economic Approach to Human Behavior | ||
Behavioral Economics | ||
Industrial Structure and Competitive Strategy | ||
Economic Forecasting | ||
International Macroeconomics | ||
International Trade | ||
Industrial Organization and Imperfect Competition | ||
Economics of Growth | ||
Markets with Frictions | ||
Game Theory and Economic Analysis | ||
Quantitative Methods in Agricultural and Applied Economics | ||
Issues in International Trade | ||
Issues in International Finance | ||
Financial Markets, Institutions and Economic Activity | ||
Corporation Finance | ||
Derivative Securities | ||
Fixed Income Securities | ||
Multinational Business Finance | ||
Total Credits | 30 |
RESIDENCE AND QUALITY OF WORK
- 2.000 GPA on all MATH courses and courses eligible for the major.^{3}
- 2.000 GPA on at least 15 credits of upper level credit in the major.^{4}
- 15 credits in MATH in the major taken on the UW-Madison campus.^{5}
^{}footnotes
- ^{ 1 }
Some courses which follow may have prerequisites outside of the courses approved for this named option.
- ^{ 2 }
Any MATH course from the elective list above may be used in lieu of any of the following courses.
- ^{ 3 }
This includes any MATH courses (and those cross-listed with MATH) regardless of appearing in the tables above as well as only those non-MATH courses which are explicitly listed in the tables above.
- ^{ 4 }
This includes any MATH courses (and those cross-listed with MATH) numbered 307 and above, regardless of appearing in the tables above, as well as only those non-MATH course explicitly listed in the tables above which carry the advanced LAS designation.
- ^{ 5 }
This includes any MATH courses (and courses cross-listed with MATH) numbered 307 and above regardless of appearing in the tables above.
Sample Four-Year Plan
This Sample Four-Year Plan is a tool to assist students and their advisor(s). Students should use it—along with their DARS report, the Degree Planner, and Course Search & Enroll tools—to make their own four-year plan based on their placement scores, credit for transferred courses and approved examinations, and individual interests. As students become involved in athletics, honors, research, student organizations, study abroad, volunteer experiences, and/or work, they might adjust the order of their courses to accommodate these experiences. Students will likely revise their own four-year plan several times during college.
In general, your four year plan in mathematics should be organized along the following sequence: 1) Calculus, 2) Linear Algebra, 3) Required Intermediate level course, 4) Additional intermediate level courses as needed, 5) Required advanced level course, 6) Additional advanced level courses.
Freshman | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
MATH 221 | 5 | MATH 222 | 4 |
Literature Breadth | 3 | Literature Breadth | 3 |
Communication A | 3 | Ethnic Studies | 3 |
Foreign Language ^{if required} | 4 | Foreign Language (if required) | 4 |
15 | 14 | ||
Sophomore | |||
Fall | Credits | Spring | Credits |
MATH 234^{1} | 4 | MATH Linear Algebra | 3 |
Humanities Breadth | 3 | MATH Differential Equations | 3 |
Communication B | 3-5 | Humanities Breadth | 3 |
Physical Science Breadth | 3 | Physical Science Breadth | 3 |
Elective | 3 | Elective | 3 |
16-18 | 15 | ||
Junior | |||
Fall | Credits | Spring | Credits |
MATH Required Intermediate Course | 3 | MATH Elective | 3 |
Economics/ Finance intro course 1 | 3-4 | Economics/Finance intro course 2 | 3-4 |
Biological Sciences Breadth | 3 | Biological Sciences Breadth | 3 |
Social Science Breadth | 3 | Physical Science Breadth | 3 |
Elective | 3 | Elective | 3 |
15-16 | 15-16 | ||
Senior | |||
Fall | Credits | Spring | Credits |
MATH 521 | 3 | Advanced MATH Elective | 3 |
Econ/Finance Elective | 3-4 | Econ/Finance elective | 3-4 |
Social Science Breadth | 3 | Social Science Breadth | 3 |
Elective | 3 | Elective | 3 |
Elective | 3 | Elective | 3 |
15-16 | 15-16 | ||
Total Credits 120-126 |
Students must declare a major by the time they reach Senior standing (86 credits).
Please refer to the Requirements tab in Guide for additional College of Letters & Science Breadth and Degree Requirements as well as Residence and Quality of Work requirements for the major.
- ^{ 1 }
Students should declare the math major upon successful completion of this course